How do you simplify #2-3[-4+6]÷ (-2)#?

2 Answers
May 7, 2018

Answer:

#2-3[-4+6]-:(-2)=5#

Explanation:

Simplify:

#2-3[-4+6]-:(-2)#

Follow the order of operations:

Parentheses/brackets
Exponents/radicals
Multiplication and Division in order from left to right.
Addition and Subtraction in order from left to right.

Simplify #-4+6# to #2#.

#2-3xx2-:(-2)#

Simplify #3xx2# to #6#.

#2-6-:(-2)#

Simplify #6-:(-2)# to #-3#.

#2-(-3)#

Simplify #2-(-3)# to #2+3#.

#2+3=5#

May 7, 2018

Answer:

You use PEMDAS. The answer is #5#.

Explanation:

#2 - 3[-4 + 6] -: (-2)#

To simplify this, we have to do it in the correct order of expressions, or PEMDAS, shown here:

www.coolmath.com

As you can see, the first thing we do is simplify everything inside the parenthesis/brackets.

#[-4 + 6] = 2#, so the expression is now #2 - 3[2] -: -2#

There are no exponents, so now let's do multiplication/division. They are interchangeable, meaning it doesn't matter which we do first. So we know that #-3[2] = -6# , then #-6 -: -2 = 3#

So now the expression is:
#2 + 3#

Finally, we add and get #5#.

Hope this helps!